6th grade · Math · Unit 9 of 17
Integers & Decimals
Negatives, thousandths and rounding
What your child practices
Meeting negative numbers on a number line, comparing and ordering integers, decimals and fractions, working with thousandths, and rounding decimals.
Alaska content standards learning standard: 6.NS.5; 6.NS.6; 6.NS.7 · positive and negative numbers on the number line, ordering and absolute value
How we explain it
Children can open this short lesson before they practice.
- Integers are whole numbers and their opposites: …, −2, −1, 0, 1, 2, ….
- On a number line, numbers to the right are greater.
- To compare decimals, line up the places and compare from the left.
Example: Which is greater, −3 or −7? On a number line, −3 is to the right of −7. Numbers further right are greater. Answer: −3
Integers & Decimals in Alaska
In the Alaska content standards, this is unit 9 of 17 in 6th grade Math, after Volume & Capacity and before Algebra Moves.
Gradelings describes a child's practice on this unit as Beginning, Approaching, Meeting or Exceeding (Four practice steps). That reflects practice, not a report-card mark: the teacher decides the mark.
Source: Alaska Department of Education and Early Development
Sample questions
A taste of this unit. In the app, questions change every time and get easier or harder to match your child.
Question 1
Which integer belongs at the ? on the number line?
- −6
- −1
- −2
−2
Hint: Numbers to the right of 0 are positive. Numbers to the left are negative.
Question 2
Tap the decimals from least to greatest.
- 0.028
- 0.755
- 0.144
- 0.417
0.028 → 0.144 → 0.417 → 0.755
Hint: Line up the decimal points. Compare tenths, then hundredths, then thousandths.
Question 3
In 3.172, which place is the digit 1 in?
- hundredths
- thousandths
- tenths
tenths
Hint: The first digit after the decimal point is tenths, then hundredths, then thousandths.
Question 4
Which is greater, −1 or −10?
- −1
- −10
−1
Hint: On a number line, the number farther to the right is greater.
Question 5
Round 3.344 to the nearest whole number.
- 2
- 3
- 4
3
Hint: Look at the digit just after the place you are rounding to. 5 or more, round up.
Question 6
A diver is 4 m below sea level. Which integer shows this?
- −4
- 0
- 4
−4
Hint: Below zero, owing and losing are shown with negative integers.